Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations

DOI10.1007/978-3-319-99918-0_6zbMath1423.34008OpenAlexW2955537949MaRDI QIDQ5239058

Michal Fečkan

Publication date: 21 October 2019

Published in: Applied Mathematical Analysis: Theory, Methods, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-99918-0_6

zbMATH Keywords

periodic solutionsfractional differential equationsperiodic boundary value problemsasymptotically periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Fractional ordinary differential equations (34A08)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems
• Bounded mild solutions to fractional integro-differential equations in Banach spaces
• On stable manifolds for planar fractional differential equations
• Nonexistence of periodic solutions and asymptotically periodic solutions for fractional differential equations
• Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
• A generalized Gronwall inequality and its application to a fractional differential equation
• On \(S\)-asymptotically \(\omega \)-periodic functions on Banach spaces and applications
• Existence of mild solutions for fractional neutral evolution equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Semigroups of linear operators and applications to partial differential equations
• Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Periodic motions
• Mixed order fractional differential equations
• Approximation approach to periodic BVP for mixed fractional differential systems
• Asymptotically periodic solutions for Caputo type fractional evolution equations
• Decay solutions for a class of fractional differential variational inequalities
• Periodic solutions and \(S\)-asymptotically periodic solutions to fractional evolution equations
• On stable manifolds for fractional differential equations in high-dimensional spaces
• Alternative results and robustness for fractional evolution equations with periodic boundary conditions
• Global Existence Theorems for Solutions of Nonlinear Differential Equations with Prescribed Asymptotic Behaviour
• Note on periodic solutions of fractional differential equations
• Basic Theory of Fractional Differential Equations
• Mittag-Leffler Functions, Related Topics and Applications

This page was built for publication: Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations